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13841737668 = 223211431634987
BaseRepresentation
bin11001110010000100…
…00010011111000100
31022201122200010110200
430321002002133010
5211321441101133
610205300250500
71000003554213
oct147102023704
938648603420
1013841737668
115963333420
1228236a0a30
1313c78a9325
1495447b07a
155602c0913
hex3390827c4

13841737668 has 144 divisors (see below), whose sum is σ = 39304801536. Its totient is φ = 4070969280.

The previous prime is 13841737667. The next prime is 13841737673. The reversal of 13841737668 is 86673714831.

13841737668 is a `hidden beast` number, since 138 + 417 + 37 + 6 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (13841737667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2773071 + ... + 2778057.

Almost surely, 213841737668 is an apocalyptic number.

13841737668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13841737668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19652400768).

13841737668 is an abundant number, since it is smaller than the sum of its proper divisors (25463063868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13841737668 is a wasteful number, since it uses less digits than its factorization.

13841737668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5214 (or 5209 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 13841737668 in words is "thirteen billion, eight hundred forty-one million, seven hundred thirty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 163 172 198 258 326 387 396 473 489 516 652 774 946 978 1419 1467 1548 1793 1892 1956 2838 2934 3586 4257 4987 5379 5676 5868 7009 7172 8514 9974 10758 14018 14961 16137 17028 19948 21027 21516 28036 29922 32274 42054 44883 54857 59844 63081 64548 77099 84108 89766 109714 126162 154198 164571 179532 214441 219428 231297 252324 308396 329142 428882 462594 493713 643323 658284 693891 812881 857764 925188 987426 1286646 1387782 1625762 1929969 1974852 2358851 2438643 2573292 2775564 3251524 3859938 4717702 4877286 7076553 7315929 7719876 8941691 9435404 9754572 14153106 14631858 17883382 21229659 26825073 28306212 29263716 34953883 35766764 42459318 53650146 69907766 80475219 84918636 104861649 107300292 139815532 160950438 209723298 314584947 321900876 384492713 419446596 629169894 768985426 1153478139 1258339788 1537970852 2306956278 3460434417 4613912556 6920868834 13841737668